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The one-dimensional Euclidean domain: finitely many obstructions are not enough

Jiehua Chen (), Kirk R. Pruhs () and Gerhard J. Woeginger ()
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Jiehua Chen: TU Berlin
Kirk R. Pruhs: University of Pittsburgh
Gerhard J. Woeginger: TU Eindhoven

Social Choice and Welfare, 2017, vol. 48, issue 2, No 9, 409-432

Abstract: Abstract We show that one-dimensional Euclidean preference profiles can not be characterized in terms of finitely many forbidden substructures. This result is in strong contrast to the case of single-peaked and single-crossing preference profiles, for which such finite characterizations have been derived in the literature.

Date: 2017
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DOI: 10.1007/s00355-016-1011-y

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